Iterative schemes for surfactant transport in porous media
Iterative schemes for surfactant transport in porous media
复制标题
多孔介质中表面活性剂传输的迭代方案
作者：
D. Illiano;I. Pop;F. Radu
在这项工作中，我们考虑了表面活性剂在饱和多孔介质中的迁移。水流由理查兹方程模拟，并与表面活性剂的输运方程完全耦合。三种线性化技术进行了讨论：牛顿法，修改皮卡德，和L-计划。在此基础上，提出了单片格式和分裂格式，并分析了它们的收敛性。这些计划的性能示出了五个数值例子。对于这些例子，迭代次数和条件数的线性系统出现在每个迭代。
In this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three linearization techniques are discussed: the Newton method, the modified Picard, and the L-scheme. Based on these, monolithic and splitting schemes are proposed and their convergence is analyzed. The performance of these schemes is illustrated on five numerical examples. For these examples, the number of iterations and the condition numbers of the linear systems emerging in each iteration are presented.